Degenerate Self-adjoint Evolution Equations on the Unit Interval

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作者
M. Campiti
G. Metafune
D. Pallara
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来源
Semigroup Forum | 1998年 / 57卷
关键词
Boundary Condition; Asymptotic Behaviour; Evolution Equation; Unit Interval; Qualitative Property;
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摘要
1([0,1]) vanishing only at 0, 1 and b∈ C ([0,1]), we study existence, qualitative properties, asymptotic behaviour and approximation of the solutions of the degenerate evolution problem ut = (auz)z - bu in ]0,1[x]0, + ∞[, with u(x,0) = u 0(x) and boundary conditions a(x)ux (x,t) → 0 as x → 0,1, t > 0.
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页码:1 / 36
页数:35
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